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Finding the Fourth Proportional to 6,199.05, 9,298.57 and 1,582.05

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Solution

The fourth proportional to 6,199.05, 9,298.57 and 1,582.05 is: 2,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.05 : 9,298.57 = 1,582.05 : x
  2. Step 2: Convert to fraction form
    6,199.05/9,298.57 = 1,582.05/x
  3. Step 3: Cross multiply
    6,199.05x = 9,298.57 × 1,582.05
  4. Step 4: Simplify right side
    6,199.05x = 14,710,802.67
  5. Step 5: Solve for x
    x = 14,710,802.67/6,199.05
  6. Step 6: Final answer
    x = 2,373.07

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